43 lines
		
	
	
		
			708 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			708 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								id: 5900f47d1000cf542c50ff8f
							 | 
						||
| 
								 | 
							
								title: 'Problem 272: Modular Cubes, part 2'
							 | 
						||
| 
								 | 
							
								challengeType: 5
							 | 
						||
| 
								 | 
							
								forumTopicId: 301922
							 | 
						||
| 
								 | 
							
								dashedName: problem-272-modular-cubes-part-2
							 | 
						||
| 
								 | 
							
								---
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								# --description--
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								For a positive number n, define C(n) as the number of the integers x, for which 1
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81. Thus, C(91)=8.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								Find the sum of the positive numbers n≤1011 for which C(n)=242.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								# --hints--
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								`euler272()` should return 8495585919506151000.
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```js
							 | 
						||
| 
								 | 
							
								assert.strictEqual(euler272(), 8495585919506151000);
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								# --seed--
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								## --seed-contents--
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```js
							 | 
						||
| 
								 | 
							
								function euler272() {
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								  return true;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								euler272();
							 | 
						||
| 
								 | 
							
								```
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								# --solutions--
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								```js
							 | 
						||
| 
								 | 
							
								// solution required
							 | 
						||
| 
								 | 
							
								```
							 |